Calculate the amount and the compound interest on Rs. $6,000$ in $3$ years at $5\%$ per year.
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Calculate the amount and the compound interest on Rs. $6,000$ in $3$ years at $5\%$ per year.
Rs. 6,945.75 and Rs. 945.75
Rs. 6,845.75 and Rs. 945.75
Rs. 6,945.75 and Rs. 945.85
Rs. 6,945.75 and Rs. 945.70
Amount = P(1 + r/100)^n = 6000(1.05)^3 = 6000 * 1.157625 = 6945.75. Interest = 6945.75 - 6000 = 945.75.
Using the compound interest formula A = P(1 + R/100)^N, the amount after 3 years is 6000(1 + 5/100)^3 = 6000(1.157625) = Rs. 6945.75. The compound interest is the amount minus the principal, which is 6945.75 - 6000 = Rs. 945.75. The result is Rs. 6945.75 and Rs. 945.75.